Question

To test H0: µ = 100 versus H1: µ ≠ 100, a simple random sample of size n = 23 is obtained from a population that is known to be normally distributed.
(a) If x̄ = 104.8 and s = 9.2, compute the test statistic.
(b) If the researcher decides to test this hypothesis at the α = 0.01 level of signiﬁcance, determine the critical values.
(c) Draw a t-distribution that depicts the critical region.
(d) Will the researcher reject the null hypothesis? Why?
(e) Construct a 99% conﬁdence interval to test the hypothesis.